Asked by Desiree LeBoeuf on Jun 09, 2024

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The ______ the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the ______ the confidence interval around the sample mean.

A) larger; smaller
B) larger; larger
C) smaller; larger
D) smaller; smaller

Confidence Interval

A series of values, extracted from data samples, that is presumed to include the value of a not yet identified population attribute.

  • Grasp the connection between the number of samples, their standard error, and the measurement of confidence interval widths.
  • Apply knowledge of confidence intervals to determine the impact of sample size on the precision of mean estimates.
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Q?
Quyên ?oànJun 13, 2024
Final Answer :
C
Explanation :
A smaller sample size means there is less confidence that the sample mean accurately estimates the population mean, leading to a larger confidence interval to account for the increased uncertainty.